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Search: id:A035316
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| A035316 |
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Sum of square divisors of n. |
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+0
12
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| 1, 1, 1, 5, 1, 1, 1, 5, 10, 1, 1, 5, 1, 1, 1, 21, 1, 10, 1, 5, 1, 1, 1, 5, 26, 1, 10, 5, 1, 1, 1, 21, 1, 1, 1, 50, 1, 1, 1, 5, 1, 1, 1, 5, 10, 1, 1, 21, 50, 26, 1, 5, 1, 10, 1, 5, 1, 1, 1, 5, 1, 1, 10, 85, 1, 1, 1, 5, 1, 1, 1, 50, 1, 1, 26, 5, 1, 1, 1, 21, 91, 1, 1, 5, 1, 1, 1, 5, 1, 10, 1, 5, 1
(list; graph; listen)
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OFFSET
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1,4
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LINKS
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Nick Hobson, Table of n, a(n) for n = 1..1000
Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.
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FORMULA
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Multiplicative with a(p^e)=(p^(e+2)-1)/(p^2-1) for even e and a(p^e)=(p^(e+1)-1)/(p^2-1) for odd e. - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 05 2001
G.f.: Sum_{k>0} k^2*x^(k^2)/(1-x^(k^2)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 13 2002
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MATHEMATICA
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Table[ Plus @@ Select[ Divisors[ n ], IntegerQ[ Sqrt[ # ] ] and ], {n, 1, 100} ]
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PROGRAM
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(PARI) vector(93, n, sumdiv(n, d, issquare(d)*d))
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CROSSREFS
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Cf. A046951.
Sequence in context: A089608 A100615 A102280 this_sequence A068316 A028235 A028236
Adjacent sequences: A035313 A035314 A035315 this_sequence A035317 A035318 A035319
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KEYWORD
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nonn,mult
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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